h(0.78h-0.022h^2)=346.66

Solution for h(0.78h-0.022h^2)=346.66 equation:

h(0.78h-0.022h^2)=346.66

We move all terms to the left:

h(0.78h-0.022h^2)-(346.66)=0

We add all the numbers together, and all the variables

h(0.78h-0.022h^2)-346.66=0

We multiply parentheses

0h^2+0h^2-346.66=0

We add all the numbers together, and all the variables

2h^2-346.66=0

a = 2; b = 0; c = -346.66;
Δ = b2-4ac
Δ = 02-4·2·(-346.66)
Δ = 2773.28
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{2773.28}}{2*2}=\frac{0-\sqrt{2773.28}}{4}
=-\frac{\sqrt{}}{4}
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{2773.28}}{2*2}=\frac{0+\sqrt{2773.28}}{4}
=\frac{\sqrt{}}{4}
$